🔢 Mathematics — Unit Wise Index
Euclid's Division Lemma
Description: where 0 ≤ r < b
HCF × LCM
Description: Product of two numbers equals product of their HCF and LCM.
Quadratic Polynomial Form
Description: Standard form of a quadratic equation.
Sum of Zeroes
Description: Relation between zeroes and coefficients
Product of Zeroes
Description: Relation between zeroes and coefficients
Topic “Pair of Linear Equations in Two Variables” currently has no formulae. Content is being added.
Topic “Quadratic Equations” currently has no formulae. Content is being added.
nth Term
Description: Formula to find the nth term of an AP
Sum of First n Terms
Description: Sum of an arithmetic progression
Distance Formula
Description: Distance between two points
Section Formula
Description: Coordinates of point dividing line segment
BPT (Thales Theorem)
Description: Basic Proportionality Theorem: A line drawn parallel to one side of a triangle divides the other two sides in the same ratio.
Similarity Criterion (AA)
Description: If two angles of one triangle are respectively equal to two angles of another triangle, then the two triangles are similar.
Similarity Criterion (SAS)
Description: If one angle of a triangle is equal to one angle of another triangle and the sides including these angles are proportional, the triangles are similar.
Tangent Property 1
Description: The tangent at any point of a circle is perpendicular to the radius through the point of contact.
Tangent Property 2
Description: The lengths of tangents drawn from an external point to a circle are equal.
Chapter “Constructions” has no formulae yet. Content is being prepared.
Area of Sector
Description: Where θ is the angle of the sector.
Length of Arc
Description: Where θ is the angle subtended by the arc.
Area of Segment
Description: Formula to find the area of a minor segment.
Sine Ratio
Description: Basic Trigonometric Ratio
Cosine Ratio
Description: Basic Trigonometric Ratio
Tangent Ratio
Description: Basic Trigonometric Ratio
Pythagorean Identity
Description: Fundamental trigonometric identity
Chapter “Some Applications of Trigonometry” has no formulae yet. Content is being prepared.
Area of Sector
Description: Where θ is the angle of the sector.
Length of Arc
Description: Where θ is the angle subtended by the arc.
Area of Segment
Description: Formula to find the area of a minor segment.
Volume of Cylinder
Description: Volume formula for a right circular cylinder
Surface Area of Sphere
Description: Total surface area of a sphere
Volume of Cone
Description: Volume of a right circular cone
Mean (Direct Method)
Description: Standard method to find arithmetic mean.
Mode of Grouped Data
Description: Where l is lower limit of modal class, f1 is freq of modal class, etc.
Median of Grouped Data
Description: Where cf is cumulative frequency of class preceding the median class.
Empirical Relationship
Description: Relation between mean, median, and mode.
Theoretical Probability
Description: Basic definition of probability.
Complementary Events
Description: The sum of probabilities of an event and its complement is always 1.
Impossible & Sure Events
Description: Range of probability is always between 0 and 1 inclusive.